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Finding the Fourth Proportional to 366,814.18, 506,224.44 and 205,661.42

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Solution

The fourth proportional to 366,814.18, 506,224.44 and 205,661.42 is: 283,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,814.18 : 506,224.44 = 205,661.42 : x
  2. Step 2: Convert to fraction form
    366,814.18/506,224.44 = 205,661.42/x
  3. Step 3: Cross multiply
    366,814.18x = 506,224.44 × 205,661.42
  4. Step 4: Simplify right side
    366,814.18x = 104,110,834,123.83
  5. Step 5: Solve for x
    x = 104,110,834,123.83/366,814.18
  6. Step 6: Final answer
    x = 283,824.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.